Mountain Clustering on Nonuniform Grids

2005 ◽  
Author(s):  
J.T. Rickard ◽  
R.R. Yager ◽  
W. Miller
Keyword(s):  
Nonuniform Grids

scholarly journals On the Convexity Preservation of a Quasi C3 Nonlinear Interpolatory Reconstruction Operator on σ Quasi-Uniform Grids

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 310 ◽  
Author(s):  
Pedro Ortiz ◽  
Juan Carlos Trillo
Keyword(s):  
Initial Data ◽  
Numerical Experiments ◽  
Approximation Order ◽  
Piecewise Polynomial ◽  
Nonuniform Grids ◽  
Uniform Grids ◽  
Reconstruction Operator ◽  
Convexity Properties ◽  
Second Degree

This paper is devoted to introducing a nonlinear reconstruction operator, the piecewise polynomial harmonic (PPH), on nonuniform grids. We define this operator and we study its main properties, such as its reproduction of second-degree polynomials, approximation order, and conditions for convexity preservation. In particular, for σ quasi-uniform grids with σ≤4, we get a quasi C3 reconstruction that maintains the convexity properties of the initial data. We give some numerical experiments regarding the approximation order and the convexity preservation.

FRI Sampling on Structured Nonuniform Grids—Application to Super-Resolved Optical Imaging

2016 ◽  
Vol 64 (15) ◽  
pp. 3841-3853 ◽  
Author(s):  
Satish Mulleti ◽  
Basty Ajay Shenoy ◽  
Chandra Sekhar Seelamantula
Keyword(s):  
Optical Imaging ◽  
Nonuniform Grids
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